Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 327, 364, 290, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 364, 290, 520 is 1
GCD(327, 364, 290, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 364, 290, 520 is 1
GCD(327, 364, 290, 520) = 1
Given Input numbers are 327, 364, 290, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 327, 364, 290, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 364, 290, 520 is 1.
Therefore, GCD of numbers 327, 364, 290, 520 is 1
Given Input Data is 327, 364, 290, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(327, 364) = 119028
GCD(327, 364) = ( 327 x 364 ) / 119028
GCD(327, 364) = 119028 / 119028
GCD(327, 364) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 327, 364, 290, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 364, 290, 520?
GCD of 327, 364, 290, 520 is 1
2. Where do I get the detailed procedure to find GCD of 327, 364, 290, 520?
You can find a detailed procedure to find GCD of 327, 364, 290, 520 on our page.
3. How to find GCD of 327, 364, 290, 520 on a calculator?
You can find the GCD of 327, 364, 290, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.